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11122443296 = 254361132511
BaseRepresentation
bin10100101101111001…
…10000010000100000
31001201010211122212022
422112330300100200
5140234321141141
65035400321012
7542424131246
oct122674602040
931633748768
1011122443296
1147983692a8
1221a4a73168
1310833c86c3
14777264796
154516c8b4b
hex296f30420

11122443296 has 48 divisors (see below), whose sum is σ = 22774042368. Its totient is φ = 5342803200.

The previous prime is 11122443281. The next prime is 11122443373. The reversal of 11122443296 is 69234422111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17681 + ... + 150191.

It is an arithmetic number, because the mean of its divisors is an integer number (474459216).

Almost surely, 211122443296 is an apocalyptic number.

11122443296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122443296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387021184).

11122443296 is an abundant number, since it is smaller than the sum of its proper divisors (11651599072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11122443296 is a wasteful number, since it uses less digits than its factorization.

11122443296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132625 (or 132617 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The spelling of 11122443296 in words is "eleven billion, one hundred twenty-two million, four hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 61 86 122 172 244 344 488 688 976 1376 1952 2623 5246 10492 20984 41968 83936 132511 265022 530044 1060088 2120176 4240352 5697973 8083171 11395946 16166342 22791892 32332684 45583784 64665368 91167568 129330736 182335136 258661472 347576353 695152706 1390305412 2780610824 5561221648 11122443296